[Official] Quant Thread for 2015!

How to solve without using trial and error.....

Consider a class of 40 students whose average weight is 40 kgs. m new students join this class whose average weight is n kgs. If it is known that m + n = 50, what is the maximum possible average weight of the class now?

  1. 40.18 kgs
  2. 40.56 kgs
  3. 40.67 kgs
  4. 40.49 kgs

Is there any shortcut or formula to solve

1+(1/2)+(1/3)+...(1/n)..

1+(1/4)+(1/9)+(1/16)+.....(1/n^2)..

The inverse of the sum of the following series up to n terms can be written as

3/4 + 5/36 + 7/144 + ......

Anybody please provide the solution. And also any generic approach to solve such problem.

http://imgur.com/HWDY3aV

20 people sitting in a line. Choose 2 such that they are not sitting adjacent to each other.

155

234

434

171

Two numbers, when divided by a certain divisor, leave remainders of 217 and 329 respectively. But their sum leaves a remainder of 104. The divisor is

a) 442

b) 440

c) 221

d) Cannot be determined

Whats d weightage of time distance and work in cat and cet??  How many questions are generally asked??

what will be the sum of all possible 5 digit numbers that can be formed with the digits 0,1,2,3,4 used once each?

A starts 3 min after B for a place 4.5km away. b on reaching his destination, immediately returns back and after walking a km meets A. If A walks 1 km in 18 minutes then what is B's speed??

5km/ph

6km/ph

7km/ph

plz explain

Find sum of all the numbers which have 9 divisors and lie in the range 200 to 1000 (including both numbers).

Approach please...

Ramu started adding the digits of the page numbers of a book starting from the first page. After he finished his addition, he had obtained a sum of 1023. If he missed adding the digits of one page number, what could be the maximum number of pages in the book?

(12/x)-(8/y)=1/5 ...positive solutions ?

A chessboard is compared to an 8 x 8 matrix. A bishop is placed at (1, 8) and a knight at (5, 5). A bishop can move along the diagonal on which it is placed upto any extent while a knight can move to any square which is two steps away horizontally or vertically and then one step away vertically or horizontally from its current position. For example, from (5, 5) it can move to (7, 6) or (7, 4) or (3, 6) or (3, 4) etc. The number of squares to which the knight can move is approximately what percent more or less from than the number of squares to which the bishop can move?

mr. X went to the market to buy fruits. It is known that he bought 20 fruits in all comprising apple banana n chikoo's.  In how many ways could he hav bought the fruits ? 

should we consider this as an no group empty case ? 

What will be the sum of the series   -12,-48,-120,-240,-420........-8160?

In how many ways can six numbers be chosen from the matrix of 6*6 such that no two of them belong to either the same row or the same column?

Can someone help me with the concepts of triangle...

I know this one a+b> c where c should be the largest side.... is there anything apart from the above condition... like what values can a and b take... what for acute and obtuse triangles..TIA..

The area of a parallelogram whose length is 30cm, width is 20cm and one diagonal is 40cm a)100*sqrt15 b)150*sqrt15 c)200*sqrt15 d)300*sqrt15...can anybody help me out with this..simple sum but not being able to get the answer....

x,y are positive numbers

x^2-xy+y^2=12

maximum value of 2x+3y,is??

  Q.14 
If 100100 = a, 10199 = b and 10298 = c, then which of the following is true?
a   a

b  b

c  a > b > c

d  c > a > b